In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D. D B Figure 3 A (b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin, introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively. If the ratio of the area of ABCD to the area of AOAD is 16:45, find (i) the coordinates of C, (ii) the equation of the circle OABC.
In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D. D B Figure 3 A (b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin, introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively. If the ratio of the area of ABCD to the area of AOAD is 16:45, find (i) the coordinates of C, (ii) the equation of the circle OABC.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
please answer this. thanks! i will give upvote
Transcribed Image Text:In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D.
D
B
Figure 3
A
(b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin,
introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively.
If the ratio of the area of ABCD to the area of AOAD is 16:45, find
(i)
the coordinates of C,
(ii)
the equation of the circle OABC.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning